Answer:
Total 25 strings each of 12 cm is obtained from the given strings.
Step-by-step explanation:
The given length of the three strings are : 60 cm, 72 cm and 168 cm
On Prime Factorization of the given terms, we get:
60 = 2 x 2 x 3 x 5
72 = 2 x 2 x 2 x 3 x 3
168 = 2 x 2 x 2 x 3 x 7
The common factors to all these three terms is 2 x 2 x 3 = 12
So, from each string strings of length 12 cm can be cut.
Now, 60 ÷ 12 = 5
So, 5 strings of cut from this of equal length.
72 ÷ 12 = 6
So, 6 strings of cut from this of equal length.
168 ÷ 12 = 14
So, 14 strings of cut from this of equal length.
⇒Total number of strings of 12 cm = 5 + 6 + 14 = 25 strings
Hence, total 25 strings each of 12 cm is obtained from the given strings.
